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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 10, Pages 8–13 (Mi ivm9159)  
This article is cited in 12 scientific papers (total in 12 papers)

Conformal mappings onto Einstein spaces

L. E. Evtushika, I. Hinterleitnerb, N. I. Gusevac, J. Mikešd

a Moscow State University, 1 Vorob'yovy Gory, Moscow, 119991 Russia
b Brno University of Technology, 17 Žižkova str., Brno, 60200 Czech Republic
c Moscow State Pedagogical University, 1 Malaya Pirogovskaya str., Moscow, 119882 Russia
d Palacky University, 12 17 .listopadu str., Olomouc, 77146 Czech Republic
Full-text PDF (183 kB) Citations (12)
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Abstract: In the present paper we study conformal mappings of Riemannian manifolds onto an Einstein manifold for the minimal condition on the differentiability class of these manifolds. We show for which conditions the corresponding equations obtained by J. Mikeš, M. L. Gavril'chenko and E. I. Gladyscheva, which defined these mappings, are linear. We obtain the number of necessary parameters on which depends the general solution of fundamental system of equations.
Keywords: (pseudo-)Riemannian space, conformal mapping, Einstein space.
Funding agency Grant number
Palacky University 2014016
Ministry of Education, Youth and Sports of the Czech Republic LO1408
The paper was supported by the grant IGA Faculty of Science 2014016 Mathematical Structures of the Palacky University and the project № LO1408, AdMas UP – Advanced Materials, Structures and Technologies (supported by Ministry of Education, Youth and Sports under the National Sustainability Programme I), Brno University of Technology.
Received: 11.03.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 10, Pages 5–9
DOI: https://doi.org/10.3103/S1066369X16100029
Bibliographic databases:
Document Type: Article
UDC: 514.762
Language: Russian
Citation: L. E. Evtushik, I. Hinterleitner, N. I. Guseva, J. Mikeš, “Conformal mappings onto Einstein spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 8–13; Russian Math. (Iz. VUZ), 60:10 (2016), 5–9
Citation in format AMSBIB
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\paper Conformal mappings onto Einstein spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 10
\pages 8--13
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\jour Russian Math. (Iz. VUZ)
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\vol 60
\issue 10
\pages 5--9
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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